HIERARCHICAL MODELING OF A FORCED ROBERTS DYNAMO-Reference-Cited by-同舟云学术

HIERARCHICAL MODELING OF A FORCED ROBERTS DYNAMO

Published:2007-10 Issue:10 Volume:17 Page:3589-3593
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

DONNER REIK¹,FEUDEL FRED¹,SEEHAFER NORBERT¹,SANJUÁN MIGUEL A. F.²

Affiliation:

1. Nonlinear Dynamics Group, University of Potsdam, Am Neuen Palais 10, 14469 Potsdam, Germany

2. Nonlinear Dynamics and Chaos Group, Departamento de Matemáticas y Física Aplicadas, y Ciencias de la Naturaleza, Universidad Rey Juan Carlos, Tulipán s/n, 28933 Móstoles, Spain

Abstract

We investigate the dynamo effect in a flow configuration introduced by G. O. Roberts in 1972. Based on a clear energetic hierarchy of Fourier components on the steady-state dynamo branch, an approximate model of interacting modes is constructed covering all essential features of the complete system but allowing simulations with a minimum amount of computation time. We use this model to study the excitation mechanism of the dynamo, the transition from stationary to time-dependent dynamo solutions and the characteristic properties of the latter ones.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021812740701941X

Reference8 articles.

1. Oscillating waves arising from O(2) symmetry

2. Symmetry-breaking bifurcations for the magnetohydrodynamic equations with helical forcing

3. Dynamo effect in a driven helical flow

4. Detection of a Flow Induced Magnetic Field Eigenmode in the Riga Dynamo Facility

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